Ulrich trichotomy on del Pezzo surfaces

Download

index.pdf

Date

2023-1-01

Author

Coşkun, Emre
Genc, Ozhan

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

105
views

52
downloads

We use a correspondence between Ulrich bundles on a projective variety and quiver representations to prove that certain del Pezzo surfaces satisfy the Ulrich trichotomy, for any given polarization.

Subject Keywords

Algebraic geometry, quiver representation., Ulrich bundle, vector bundle

URI

https://hdl.handle.net/11511/102508

Journal

Advances in Geometry

DOI

https://doi.org/10.1515/advgeom-2022-0024

Collections

Department of Physics, Article

Suggestions

OpenMETU
Core

The geometry of Ulrich bundles on del Pezzo surfaces Coşkun, Emre; MUSTOPA, Yusuf (2013-02-01) Given a smooth del Pezzo surface X-d subset of P-d of degree d, we isolate the essential geometric obstruction to a vector bundle on X-d being an Ulrich bundle by showing that an irreducible curve D of degree dr on X-d represents the first Chern class of a rank-r Ulrich bundle on X-d if and only if the kernel bundle of the general. smooth element of vertical bar D vertical bar admits a generalized theta-divisor. Moreover, we show that any smooth arithmetically Gorenstein surface whose Ulrich bundles admit s...
Ulrich bundles on quartic surfaces with Picard number 1 Coşkun, Emre (Elsevier BV, 2013-03-01) In this note, we prove that there exist stable Ulrich bundles of every even rank on a smooth quartic surface X subset of P-3 with Picard number 1. (C) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
Mayer Vietoris sequence for persistent homology Yılmaz, Yağmur; Önder, Mustafa Turgut; Department of Mathematics (2018) Persistent homology is an algebraic method for understanding topological features of discrete objects or data (finite set of points with metric defined on it). In algebraic topology, the Mayer Vietoris sequence is a powerful tool which allows one to study the homology groups of a given space in terms of simpler homology groups of its subspaces. In this thesis, we study to what extent does persistent homology benefit from Mayer Vietoris sequence.
Some finite-dimensional backward shift-invariant subspaces in the ball and a related factorization problem Alpay, D; Kaptanoglu, HT (2000-12-15) Beurling's theorem characterizes subspaces of the Hardy space invariant under the forward-shift operator in terms of inner functions. In this Note we consider the case where the ball replaces the open unit desk and the reproducing kernel Hilbert space with reproducing kernel 1/(1-Sigma (N)(1) a(j)w(j)*) replaces the Hardy space. We give explicit formulas which generalize Blaschke products in the case of spaces of finite codimension. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier...
On endomorphisms of surface mapping class groups Korkmaz, Mustafa (Elsevier BV, 2001-05-01) In this paper, we prove that every endomorphism of the mapping class group of an orientable surface onto a subgroup of finite index is in fact an automorphism.

Citation Formats

E. Coşkun and O. Genc, “Ulrich trichotomy on del Pezzo surfaces,” Advances in Geometry, vol. 23, no. 1, pp. 51–68, 2023, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/102508.